Solving Equations
Solve: -2(4g - 3) = 30
g=-3
36/8=9/h
h=2
5p-9=2p+12
p=7
abs(m+3)=7
m=-10, m=4
y=7-2x
Solve: 33 = 12r - 3(9 - r)
r=5
Convert 3.2km to cm
(There are 100cm in 1 meter & 1000m in 1 km)
320,000 cm
-9(t-2)=4(t-15)
t=6
abs(q-8)=14
q=-6, q=22
Solve for y: 20x+5y=15
y=3-4x
Solve: -1/2(5x-8)-1=6
x=4 2/5
Convert 5 miles/hr to feet/second. Round to the nearest tenth.
2*(2x+4)=3/4(24-8x)
x=1
abs(3x + 6) + 3 = 21
x=4, x=-8
Solve for y: 6x-3y=-6
y=2x+2
(x-7)/3-5=-8
x=-2
Car A can reach a top speed of 135 miles per hour. Can B can reach a top speed of 195 feet per second. Which car has a greater top speed?
Car A: Speed 198 ft/sec
3x + 4 = 12 + 3x
No solution
abs(1/3x-2)-7=3
x=36, x=-24
Solve for y: 16x+9=9y-2x
y=2x+1
At a restaurant you ordered an appetizer and an entree. The appetizer was $12.50. You paid a 20% tip on the entire order and the total cost was $34.44 (after tip). How much was your entree?
Entree was $16.20.
Faucet A leaks at a rate of 21 liters per day. Faucet B leaks at a rate of 30 drips per minute. Which faucet leaks at a faster rate? (1L = 4000 drips)
Faucet A: 58.3 drips per minute
3(4g+6)=2(6g+9)
All real numbers
You ride your bike to the mall. The ride is about 7.5 miles, but the distance varies by up to 2.5 miles depending on the route you take. You ride your bike at a constant speed of 15 miles per hour. Find the minimum and maximum number of minutes it will take you to travel to the mall.
maximum: 40 minutes
minimum: 20 minutes
A=1/2h(b1+b2)
Solve for b2
b2=(2A)/h-b1